A HYBRID-EXTRAGRADIENT ITERATIVE METHOD FOR SPLIT MONOTONE VARIATIONAL INCLUSION, MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE MAPPING

Authors

  • K. R. Kazmi DEPARTMENT OF MATHEMATICS, ALIGARH MUSLIM UNIVERSITY, ALIGARH 202002, INDIA
  • S. H. Rizvi DEPARTMENT OF MATHEMATICS, BABU BANARASI DAS UNIVERSITY, LUCKNOW 226028, INDIA
  • Rehan Ali DEPARTMENT OF MATHEMATICS, ALIGARH MUSLIM UNIVERSITY, ALIGARH 202002, INDIA

Abstract

In this paper, we investigate a hybrid-extragradient iterative method to approximate a common
element of the set of solutions of split monotone variational inclusion, mixed equilibrium problem and fixed-point problem for a nonexpansive mapping. Further, we establish a strong convergence theorem for the sequences generated by the proposed iterative algorithm. We also derive some consequences from our main result. A numerical example is given to support our main result. The method and results presented in this paper are the extension and generalization of the previously
known iterative methods and results in this area.

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Published

2017-01-28

Issue

Vol. 35 No. 2 (2016)

Section

Articles

How to Cite

A HYBRID-EXTRAGRADIENT ITERATIVE METHOD FOR SPLIT MONOTONE VARIATIONAL INCLUSION, MIXED EQUILIBRIUM PROBLEM AND FIXED POINT PROBLEM FOR A NONEXPANSIVE MAPPING. (2017). Journal of the Nigerian Mathematical Society, 35(2), 312-338. https://ojs.ictp.it/jnms/index.php/jnms/article/view/33